# The simplest equivalent circuit of a pulsed dielectric barrier discharge and the determination of the gas gap charge transfer

## Abstract

The concept of the simplest equivalent circuit for a dielectric barrier discharge (DBD) is critically reviewed. It is shown that the approach is consistent with experimental data measured either in large-scale sinusoidal-voltage driven or miniature pulse-voltage driven DBDs. An expression for the charge transferred through the gas gap q(t) is obtained with an accurate account for the displacement current and the values of DBD reactor capacitance. This enables (i) the significant reduction of experimental error in the determination of q(t) in pulsed DBDs, (ii) the verification of the classical electrical theory of ozonizers about maximal transferred charge q{sub max}, and (iii) the development of a graphical method for the determination of q{sub max} from charge-voltage characteristics (Q-V plots, often referred as Lissajous figures) measured under pulsed excitation. The method of graphical presentation of q{sub max} is demonstrated with an example of a Q-V plot measured under pulsed excitation. The relations between the discharge current j{sub R}(t), the transferred charge q(t), and the measurable parameters are presented in new forms, which enable the qualitative interpretation of the measured current and voltage waveforms without the knowledge about the value of the dielectric barrier capacitance C{sub d}. Whereas for quantitative evaluation of electricalmore »

- Authors:

- Leibniz Institute for Plasma Science and Technology (INP Greifswald), Felix-Hausdorff-Str. 2, Greifswald 17489 (Germany)
- Light and Life Laboratory, Department of Physics and Engineering Physics, Stevens Institute of Technology, Hoboken, New Jersey 07030 (United States)

- Publication Date:

- OSTI Identifier:
- 22093995

- Resource Type:
- Journal Article

- Journal Name:
- Review of Scientific Instruments

- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 11; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0034-6748

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; CAPACITANCE; CHARGE EXCHANGE; DIELECTRIC MATERIALS; ELECTRIC DISCHARGES; EQUIVALENT CIRCUITS; EVALUATION; EXCITATION; PLASMA; PLASMA DIAGNOSTICS; PULSES; REDUCTION; WAVE FORMS

### Citation Formats

```
Pipa, A. V., Brandenburg, R., Hoder, T., and Koskulics, J.
```*The simplest equivalent circuit of a pulsed dielectric barrier discharge and the determination of the gas gap charge transfer*. United States: N. p., 2012.
Web. doi:10.1063/1.4767637.

```
Pipa, A. V., Brandenburg, R., Hoder, T., & Koskulics, J.
```*The simplest equivalent circuit of a pulsed dielectric barrier discharge and the determination of the gas gap charge transfer*. United States. doi:10.1063/1.4767637.

```
Pipa, A. V., Brandenburg, R., Hoder, T., and Koskulics, J. Thu .
"The simplest equivalent circuit of a pulsed dielectric barrier discharge and the determination of the gas gap charge transfer". United States. doi:10.1063/1.4767637.
```

```
@article{osti_22093995,
```

title = {The simplest equivalent circuit of a pulsed dielectric barrier discharge and the determination of the gas gap charge transfer},

author = {Pipa, A. V. and Brandenburg, R. and Hoder, T. and Koskulics, J.},

abstractNote = {The concept of the simplest equivalent circuit for a dielectric barrier discharge (DBD) is critically reviewed. It is shown that the approach is consistent with experimental data measured either in large-scale sinusoidal-voltage driven or miniature pulse-voltage driven DBDs. An expression for the charge transferred through the gas gap q(t) is obtained with an accurate account for the displacement current and the values of DBD reactor capacitance. This enables (i) the significant reduction of experimental error in the determination of q(t) in pulsed DBDs, (ii) the verification of the classical electrical theory of ozonizers about maximal transferred charge q{sub max}, and (iii) the development of a graphical method for the determination of q{sub max} from charge-voltage characteristics (Q-V plots, often referred as Lissajous figures) measured under pulsed excitation. The method of graphical presentation of q{sub max} is demonstrated with an example of a Q-V plot measured under pulsed excitation. The relations between the discharge current j{sub R}(t), the transferred charge q(t), and the measurable parameters are presented in new forms, which enable the qualitative interpretation of the measured current and voltage waveforms without the knowledge about the value of the dielectric barrier capacitance C{sub d}. Whereas for quantitative evaluation of electrical measurements, the accurate estimation of the C{sub d} is important.},

doi = {10.1063/1.4767637},

journal = {Review of Scientific Instruments},

issn = {0034-6748},

number = 11,

volume = 83,

place = {United States},

year = {2012},

month = {11}

}